Bunuel wrote:
Rahul takes a solution which contains 100 percent pure water and replaces 40 percent of it with baking soda. He repeats this process two more times and stops. What is the ratio of soda to water in the final solution?
A. 41:9
B. 98:27
C. 18:7
D. 16:9
E.14:9
Solution:
- Water is 100 percent in the solution and 40% is taken out 3times
- This means final volume of water\(=100(1-\frac{40}{100})^3\)
\(⇒100(\frac{60}{100})^3\)
\( ⇒100\times \frac{6\times 6\times6}{1000}\)
\(⇒21.6\) - Amount of soda\(=100-21.6=78.4\)
- Ratio\(=\frac{78.4}{21.6}=\frac{98}{27}\)
Hence the right answer is OptionB
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Statistics : Posted by SaquibHGMATWhiz • on 24 Sep 2022, 04:43 • Replies 4 • Views 666









